Pith Number

pith:OP2O3LDK

pith:2008:OP2O3LDKRFTY3JPS4CC4VFGEG2

not attested not anchored not stored refs pending

A Horizontal Categorification of Gelfand Duality

(2) Chulalongkorn University, Australia, Bangkok, Paolo Bertozzini, Roberto Conti (1), Thailand), Wicharn Lewkeeratiyutkul (2) ((1) University of Newcastle

arxiv:0812.3601 v2 · 2008-12-18 · math.OA · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OP2O3LDKRFTY3JPS4CC4VFGEG2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:05:46.209351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f4edac6a89678da5f2e085ca94c43690df5a331328a31fe8434988d063256e

Aliases

arxiv: 0812.3601 · arxiv_version: 0812.3601v2 · doi: 10.48550/arxiv.0812.3601 · pith_short_12: OP2O3LDKRFTY · pith_short_16: OP2O3LDKRFTY3JPS · pith_short_8: OP2O3LDK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OP2O3LDKRFTY3JPS4CC4VFGEG2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 73f4edac6a89678da5f2e085ca94c43690df5a331328a31fe8434988d063256e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "824bfb691ac76e90444624684f029d248823176b025a5daa18cbc155c2452d7c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-12-18T17:53:38Z",
    "title_canon_sha256": "8e3a667f7891b82a60e710995d9a0081f9e5a79e2e2a003605edbc203cac7ed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3601",
    "kind": "arxiv",
    "version": 2
  }
}